On N-wave type systems and their gauge equivalent

Details On N-wave type systems and their gauge equivalent On N-wave type systems and their gauge equivalent

2001-11-12

arxiv.org/abs/nlin/0111027v2

Eur. Phys. J. B 29 (2002), 243-248

Nonlinear Sciences

Exactly Solvable and Integrable Systems

5 pages, LaTeX 2e, revised version

Scientific paper

10.1140/epjb/e2002-00294-6

The class of nonlinear evolution equations - gauge equivalent to the N-wave equations related to the simple Lie algebra g are derived and analyzed. They are written in terms of the functions S(x,t) satisfying r= rank g nonlinear constraints. The corresponding Lax pairs and the time evolution of the scattering data are found. The Zakharov-Shabat dressing method is appropriately modified to construct their soliton solutions.

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